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Finding the Fourth Proportional to 12,306.50, 18,460.02 and 3,072.50

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Solution

The fourth proportional to 12,306.50, 18,460.02 and 3,072.50 is: 4,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.50 : 18,460.02 = 3,072.50 : x
  2. Step 2: Convert to fraction form
    12,306.50/18,460.02 = 3,072.50/x
  3. Step 3: Cross multiply
    12,306.50x = 18,460.02 × 3,072.50
  4. Step 4: Simplify right side
    12,306.50x = 56,718,411.45
  5. Step 5: Solve for x
    x = 56,718,411.45/12,306.50
  6. Step 6: Final answer
    x = 4,608.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.